Selecting the individual numerical scale and prioritization method in the analytic hierarchy process : a 2-tuple fuzzy linguistic approach

Dong, Yucheng, Hong, Wei-Chiang, Xu, Yinfeng and Yu, Shui 2011, Selecting the individual numerical scale and prioritization method in the analytic hierarchy process : a 2-tuple fuzzy linguistic approach, IEEE transactions on fuzzy systems, vol. 19, no. 1, pp. 13-25.

Attached Files
Name Description MIMEType Size Downloads

Title Selecting the individual numerical scale and prioritization method in the analytic hierarchy process : a 2-tuple fuzzy linguistic approach
Author(s) Dong, Yucheng
Hong, Wei-Chiang
Xu, Yinfeng
Yu, Shui
Journal name IEEE transactions on fuzzy systems
Volume number 19
Issue number 1
Start page 13
End page 25
Total pages 13
Publisher IEEE
Place of publication Piscataway, N. J.
Publication date 2011-02
ISSN 1063-6706
1941-0034
Keyword(s) analytic hierarchy process (AHP)
individual selection
numerical scale
prioritization method
2-tuple fuzzy linguistic model
Summary The validity of the priority vector used in the analytic hierarchy process (AHP) relies on two factors: the selection of a numerical scale and the selection of a prioritization method. The traditional AHP selects only one numerical scale (e.g., the Saaty scale) and one prioritization method (e.g., the eigenvector method) for each particular problem. For this traditional selection approach, there is disagreement on which numerical scale and prioritization method is better in deriving a priority vector. In fact, the best numerical scale and the best prioritization method both rely on the content of the pairwise comparison data provided by the AHP decision makers. By defining a set of concepts regarding the scale function and the linguistic pairwise comparison matrices (LPCMs) of the priority vector and by using LPCMs to unify the format of the input and output of AHP, this paper extends the AHP prioritization process under the 2-tuple fuzzy linguistic model. Based on the extended AHP prioritization process, we present two performance measure criteria to evaluate the effect of the numerical scales and prioritization methods. We also use the performance measure criteria to develop a 2-tuple fuzzy linguistic multicriteria approach to select the best numerical scales and the best prioritization methods for different LPCMs. In this paper, we call this type of selection the individual selection of the numerical scale and prioritization method. We also compare this individual selection with traditional selection by using both random and real data and show better results with individual selection.
Language eng
Field of Research 080201 Analysis of Algorithms and Complexity
Socio Economic Objective 970108 Expanding Knowledge in the Information and Computing Sciences
HERDC Research category C1 Refereed article in a scholarly journal
HERDC collection year 2011
Copyright notice ©2011, IEEE
Persistent URL http://hdl.handle.net/10536/DRO/DU:30034522

Document type: Journal Article
Collection: School of Information Technology
Connect to link resolver
 
Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved.

Versions
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 22 times in TR Web of Science
Scopus Citation Count Cited 24 times in Scopus
Google Scholar Search Google Scholar
Access Statistics: 121 Abstract Views, 3 File Downloads  -  Detailed Statistics
Created: Mon, 09 May 2011, 15:18:18 EST by Sandra Dunoon

Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au.